41 citations · 155 across the 10 of their papers we have counts for
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A simple frequency approximation formula for a class of nonlinear oscillators
Kevin Rapedius
An astonishingly simple analytical frequency approximation formula for a class of strongly nonlinear oscillators is derived and applied to various example systems yielding useful q…
Resonance solutions of the nonlinear Schrödinger equation in an open double-well potential
K. Rapedius, H. J. Korsch
The resonance states and the decay dynamics of the nonlinear Schrödinger (or Gross-Pitaevskii) equation are studied for a simple, however flexible model system, the double delta-sh…
Barrier transmission for the one-dimensional nonlinear Schrödinger equation: resonances and transmission profiles
K. Rapedius, H. J. Korsch
The stationary nonlinear Schrödinger equation (or Gross-Pitaevskii equation) for one-dimensional potential scattering is studied. The nonlinear transmission function shows a distor…
An analytical study of resonant transport of Bose-Einstein condensates
K. Rapedius, D. Witthaut, H. J. Korsch
We study the stationary nonlinear Schrödinger equation, or Gross-Pitaevskii equation, for a one--dimensional finite square well potential. By neglecting the mean--field interaction…
The nonlinear Schroedinger equation for the delta-comb potential: quasi-classical chaos and bifurcations of periodic stationary solutions
D. Witthaut, K. Rapedius, H. J. Korsch
The nonlinear Schroedinger equation is studied for a periodic sequence of delta-potentials (a delta-comb) or narrow Gaussian potentials. For the delta-comb the time-independent non…